Sean Leal (naruxen)

Race #185

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Official speed 83.74 wpm (123.81 seconds elapsed during race)
Without ending ping 83.90 wpm (230 ms delay sending score to TypeRacer’s server)
Timerless 84.84 wpm (1,380 ms elapsed before first character typed; 122.20 seconds elapsed during race)
Timerless minus one 84.74 wpm, ignoring the first character typed
Race Start December 8, 2023 6:20:44pm UTC
Race Finish December 8, 2023 6:22:48pm UTC
Outcome No win (3 of 4)
Opponents 1. coyote96 (93.37 wpm)
2. lucykiana (91.19 wpm)
Accuracy 97.3%
Points 226.08
Text #4940058 (Length: 864 characters)

Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Characters typed Calculus is a tool that helps us understand how a change in on eqene quantity is related to a change in another. How does the speed o ff a falling object change as a function of time? How does the leve ofl of water in a barrel change as a function fo tof the amount of liquid pouredin into it? We see change occurring in nearly everything we osbserve in the world an dd unviverse, and powerful modern instruments help us see more and more. In this ecsectino won we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of thseesee imprortant convcepts in the next chpatapter, but for now w e use an informal aporproach s o you will see how they lead naturally to the main idea of this chpaapter, the limit. The idea of a limit plays a founcsadational role thoroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 1380 160 1634 687 64 112 160 96 112 112 80 64 159 81 128 112 128 176 129 127 94 66 96 14 130
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 144 96 128 128 96 208 240 112 176 64 32 128 128 560 96 47 113 65 95 96 64 15 113 63 129
Character c h a n g e i n o n e q -q -e - -n e -e n e q
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Character u a n t i t y i s r e l a t e d t o a c
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Character h a n g e i n a n o t h e r . H o w d o e
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Character s t h e s p e e d o f -f - f a f a l l
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Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 161 46 82 64 256 144 225 95 15 193 127 129 80 96 62 82 95 113 96 110 98 415 113 160 64
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 48 96 241 0 128 13 82 481 61 114 80 80 46 98 256 160 304 192 80 127 97 112 32 96 95
Character t h e l e v e o f -f -o - l o f w a t e r
Milliseconds 49 80 96 80 96 32 110 83 111 144 96 272 144 144 464 159 97 112 81 175 240 96 160 48 112
Character i n a b a r r e l c h a n g e a s a f
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Character u n c t i o n f o t -t - -o -f o f t h e a m
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Character o u n t o f l i q u i d p o u r e d i n -n -i
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Character i n t o i t ? W e s e e c h a n g e o
Milliseconds 161 143 64 97 64 145 78 81 273 208 207 273 175 208 129 129 63 129 47 81 80 79 97 31 145
Character c c u r r i n g i n n e a r l y e v e r y t
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Character h i n g w e o s -s b s e r v e i n t h e
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Character w o r l d a n d -d - d u n v -v i v e r s e ,
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Character a n d p o w e r f u l m o d e r n i n s t
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Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 192 96 176 112 80 63 144 225 208 208 128 145 511 144 96 96 192 96 160 96 62 82 32 46 114
Character a n d m o r e . I n t h i s e c -c -e s e c
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Character t i n o w -w - -o -n o n w e i n t r o d u c e
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Character t h e i d e a s o f a v e r a g e a n d
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Character i n s t a n t a n e o u s r a t e s o f c
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Character h a n g e , a n d s h o w t h a t t h e y
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Character a r e c l o s e l y r e l a t e d t o t
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Character h e s l o p e o f a c u r v e a t a
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Character p o i n t P o n t h e c u r v e . W e
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Character g i v e p r e c i s e d e v e l o p m e n t s
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Character o f t h s e -e -s e s e e -e i m p r -r o r t a
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Character n t c o n v -v c e p t s i n t h e n e x t
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Character c h p a t -t -a -p a p t e r , b u t f o r n
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Character o w w - e u s e a n i n f o r m a l a
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Character p o r -r -o p r o a c h s - o y o u w i l l
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Character s e e h o w t h e y l e a d n a t u r a
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Character l l y t o t h e m a i n i d e a o f t
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Character h i s c h p a -a -p a p t e r , t h e l i m i
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Character t . T h e i d e a o f a l i m i t p l
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Character a y s a f o u n c -c s a -a -s d a t i o n a l
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Character r o l e t h o -o r o u g h o u t c a l c u l u
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Character s .
Milliseconds 95 113
WPM Timing
Seconds WPM
2.48 9.69
4.95 33.92
7.43 53.31
9.9 67.84
12.38 59.12
14.86 63
17.33 74.08
19.81 77.54
22.29 75.92
24.76 78.51
27.24 79.3
29.71 78.34
32.19 79.77
34.67 80.65
37.14 80.12
39.62 79.35
42.1 78.68
44.57 79.42
47.05 80.85
49.52 81.17
52 81.46
54.48 81.5
56.95 82.17
59.43 81.58
61.91 82.96
64.38 81.08
66.86 82.02
69.33 82.9
71.81 82.55
74.29 84.16
76.76 85.04
79.24 85.41
81.72 85.76
84.19 86.37
86.67 86.4
89.14 85.48
91.62 84.61
94.1 84.55
96.57 84.25
99.05 84.56
101.53 83.68
104 83.42
106.48 84.07
108.95 84.48
111.43 84.32
113.91 84.7
116.38 84.86
118.86 83.9
121.34 84.06
123.81 83.74